99395172900 has 405 divisors, whose sum is σ = 335901048483. Its totient is φ = 25423372800.

The previous prime is 99395172893. The next prime is 99395172901. The reversal of 99395172900 is 927159399.

The square root of 99395172900 is 315270.

It is a perfect power (a square), and thus also a powerful number.

99395172900 is a `hidden beast` number, since 9 + 9 + 39 + 517 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50568315876 + 48826857024 = 224874^2 + 220968^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99395172901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 879603244 + ... + 879603356.

Almost surely, 2^99395172900 is an apocalyptic number.

99395172900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99395172900 is the 315270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99395172900

99395172900 is an abundant number, since it is smaller than the sum of its proper divisors (236505875583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99395172900 is a wasteful number, since it uses less digits than its factorization.

99395172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 99395172900 in words is "ninety-nine billion, three hundred ninety-five million, one hundred seventy-two thousand, nine hundred".